A note on the structure of two subsets of the parameter space in adaptive control problems.

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    Abstract

    We study the geometric structure of two subsets of the parameter space that are of interest in the context of adaptive LQ-control. The first set can be considered as the set of possible limit points of an adaptive control algorithm, whereas the second can be seen as the set of desirable limit points. Our main result is that these sets are $C^\omega$-manifolds.
    Original languageUndefined
    Pages (from-to)25-34
    Number of pages10
    JournalSystems and control letters
    Volume7
    Issue number1
    DOIs
    Publication statusPublished - Feb 1986

    Keywords

    • IR-70384
    • $C^\omega$-manifold
    • Adaptive LQ control
    • EWI-16584
    • MSC-93C40

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